{
  "scales_analyzed": [
    "1B_medical",
    "3B_medical",
    "1B_alpaca",
    "3B_alpaca",
    "8B_alpaca"
  ],
  "dimensionality_results": {
    "1B_medical_Baseline_LoRA": {
      "model": "1B_medical_Baseline_LoRA",
      "d_head": 64,
      "predicted_threshold_deg": 7.1808,
      "n_heads": 64,
      "theta_mean": 6.8935,
      "theta_std": 2.3459,
      "damaged_at_predicted": 48.44,
      "damaged_at_5deg": 73.44,
      "empirical_split_deg": 7.0871,
      "predicted_vs_empirical_diff": 0.0937
    },
    "1B_medical_DoRA": {
      "model": "1B_medical_DoRA",
      "d_head": 64,
      "predicted_threshold_deg": 7.1808,
      "n_heads": 64,
      "theta_mean": 6.9325,
      "theta_std": 2.3562,
      "damaged_at_predicted": 48.44,
      "damaged_at_5deg": 73.44,
      "empirical_split_deg": 7.1271,
      "predicted_vs_empirical_diff": 0.0536
    },
    "1B_medical_EgoRA_e2": {
      "model": "1B_medical_EgoRA_e2",
      "d_head": 64,
      "predicted_threshold_deg": 7.1808,
      "n_heads": 64,
      "theta_mean": 2.3278,
      "theta_std": 0.9484,
      "damaged_at_predicted": 0.0,
      "damaged_at_5deg": 0.0,
      "empirical_split_deg": 2.3824,
      "predicted_vs_empirical_diff": 4.7984
    },
    "1B_medical_EgoRA_adaptive_v2": {
      "model": "1B_medical_EgoRA_adaptive_v2",
      "d_head": 64,
      "predicted_threshold_deg": 7.1808,
      "n_heads": 64,
      "theta_mean": 2.3646,
      "theta_std": 1.0116,
      "damaged_at_predicted": 0.0,
      "damaged_at_5deg": 1.56,
      "empirical_split_deg": 2.4024,
      "predicted_vs_empirical_diff": 4.7784
    },
    "3B_medical_Baseline_LoRA": {
      "model": "3B_medical_Baseline_LoRA",
      "d_head": 128,
      "predicted_threshold_deg": 5.0709,
      "n_heads": 112,
      "theta_mean": 6.0917,
      "theta_std": 1.5712,
      "damaged_at_predicted": 67.86,
      "damaged_at_5deg": 68.75,
      "empirical_split_deg": 6.0861,
      "predicted_vs_empirical_diff": 1.0152
    },
    "3B_medical_DoRA": {
      "model": "3B_medical_DoRA",
      "d_head": 128,
      "predicted_threshold_deg": 5.0709,
      "n_heads": 112,
      "theta_mean": 6.1595,
      "theta_std": 1.6088,
      "damaged_at_predicted": 67.86,
      "damaged_at_5deg": 67.86,
      "empirical_split_deg": 6.0661,
      "predicted_vs_empirical_diff": 0.9952
    },
    "3B_medical_EgoRA_e2": {
      "model": "3B_medical_EgoRA_e2",
      "d_head": 128,
      "predicted_threshold_deg": 5.0709,
      "n_heads": 112,
      "theta_mean": 2.0716,
      "theta_std": 0.7013,
      "damaged_at_predicted": 0.0,
      "damaged_at_5deg": 0.0,
      "empirical_split_deg": 2.0821,
      "predicted_vs_empirical_diff": 2.9888
    },
    "3B_medical_EgoRA_adaptive_v2": {
      "model": "3B_medical_EgoRA_adaptive_v2",
      "d_head": 128,
      "predicted_threshold_deg": 5.0709,
      "n_heads": 112,
      "theta_mean": 2.1034,
      "theta_std": 0.7374,
      "damaged_at_predicted": 0.0,
      "damaged_at_5deg": 0.0,
      "empirical_split_deg": 2.042,
      "predicted_vs_empirical_diff": 3.0289
    },
    "1B_alpaca_Baseline_LoRA": {
      "model": "1B_alpaca_Baseline_LoRA",
      "d_head": 64,
      "predicted_threshold_deg": 7.1808,
      "n_heads": 64,
      "theta_mean": 6.6162,
      "theta_std": 2.3287,
      "damaged_at_predicted": 48.44,
      "damaged_at_5deg": 71.88,
      "empirical_split_deg": 6.7668,
      "predicted_vs_empirical_diff": 0.414
    },
    "1B_alpaca_DoRA": {
      "model": "1B_alpaca_DoRA",
      "d_head": 64,
      "predicted_threshold_deg": 7.1808,
      "n_heads": 64,
      "theta_mean": 6.5593,
      "theta_std": 2.2883,
      "damaged_at_predicted": 48.44,
      "damaged_at_5deg": 67.19,
      "empirical_split_deg": 6.6667,
      "predicted_vs_empirical_diff": 0.5141
    },
    "1B_alpaca_EgoRA_e2": {
      "model": "1B_alpaca_EgoRA_e2",
      "d_head": 64,
      "predicted_threshold_deg": 7.1808,
      "n_heads": 64,
      "theta_mean": 2.3359,
      "theta_std": 1.0329,
      "damaged_at_predicted": 0.0,
      "damaged_at_5deg": 1.56,
      "empirical_split_deg": 2.3423,
      "predicted_vs_empirical_diff": 4.8384
    },
    "1B_alpaca_EgoRA_adaptive_v2": {
      "model": "1B_alpaca_EgoRA_adaptive_v2",
      "d_head": 64,
      "predicted_threshold_deg": 7.1808,
      "n_heads": 64,
      "theta_mean": 2.3907,
      "theta_std": 1.0831,
      "damaged_at_predicted": 0.0,
      "damaged_at_5deg": 1.56,
      "empirical_split_deg": 2.4024,
      "predicted_vs_empirical_diff": 4.7784
    },
    "3B_alpaca_Baseline_LoRA": {
      "model": "3B_alpaca_Baseline_LoRA",
      "d_head": 128,
      "predicted_threshold_deg": 5.0709,
      "n_heads": 112,
      "theta_mean": 6.0293,
      "theta_std": 1.5759,
      "damaged_at_predicted": 64.29,
      "damaged_at_5deg": 67.86,
      "empirical_split_deg": 6.046,
      "predicted_vs_empirical_diff": 0.9751
    },
    "3B_alpaca_DoRA": {
      "model": "3B_alpaca_DoRA",
      "d_head": 128,
      "predicted_threshold_deg": 5.0709,
      "n_heads": 112,
      "theta_mean": 5.9669,
      "theta_std": 1.6079,
      "damaged_at_predicted": 64.29,
      "damaged_at_5deg": 64.29,
      "empirical_split_deg": 5.9259,
      "predicted_vs_empirical_diff": 0.855
    },
    "3B_alpaca_EgoRA_e2": {
      "model": "3B_alpaca_EgoRA_e2",
      "d_head": 128,
      "predicted_threshold_deg": 5.0709,
      "n_heads": 112,
      "theta_mean": 2.0077,
      "theta_std": 0.7069,
      "damaged_at_predicted": 0.0,
      "damaged_at_5deg": 0.0,
      "empirical_split_deg": 2.0621,
      "predicted_vs_empirical_diff": 3.0088
    },
    "3B_alpaca_EgoRA_adaptive_v2": {
      "model": "3B_alpaca_EgoRA_adaptive_v2",
      "d_head": 128,
      "predicted_threshold_deg": 5.0709,
      "n_heads": 112,
      "theta_mean": 2.0563,
      "theta_std": 0.7389,
      "damaged_at_predicted": 0.0,
      "damaged_at_5deg": 0.0,
      "empirical_split_deg": 2.0621,
      "predicted_vs_empirical_diff": 3.0088
    },
    "8B_alpaca_Baseline_LoRA": {
      "model": "8B_alpaca_Baseline_LoRA",
      "d_head": 128,
      "predicted_threshold_deg": 5.0709,
      "n_heads": 128,
      "theta_mean": 7.1411,
      "theta_std": 2.084,
      "damaged_at_predicted": 78.91,
      "damaged_at_5deg": 78.91,
      "empirical_split_deg": 7.3874,
      "predicted_vs_empirical_diff": 2.3165
    },
    "8B_alpaca_DoRA": {
      "model": "8B_alpaca_DoRA",
      "d_head": 128,
      "predicted_threshold_deg": 5.0709,
      "n_heads": 128,
      "theta_mean": 7.1561,
      "theta_std": 2.0895,
      "damaged_at_predicted": 80.47,
      "damaged_at_5deg": 82.03,
      "empirical_split_deg": 7.3473,
      "predicted_vs_empirical_diff": 2.2765
    },
    "8B_alpaca_EgoRA_e2": {
      "model": "8B_alpaca_EgoRA_e2",
      "d_head": 128,
      "predicted_threshold_deg": 5.0709,
      "n_heads": 128,
      "theta_mean": 2.4362,
      "theta_std": 0.9855,
      "damaged_at_predicted": 0.0,
      "damaged_at_5deg": 0.0,
      "empirical_split_deg": 2.6026,
      "predicted_vs_empirical_diff": 2.4683
    },
    "8B_alpaca_EgoRA_adaptive_v2": {
      "model": "8B_alpaca_EgoRA_adaptive_v2",
      "d_head": 128,
      "predicted_threshold_deg": 5.0709,
      "n_heads": 128,
      "theta_mean": 2.4887,
      "theta_std": 1.0296,
      "damaged_at_predicted": 0.0,
      "damaged_at_5deg": 0.0,
      "empirical_split_deg": 2.6026,
      "predicted_vs_empirical_diff": 2.4683
    }
  },
  "k_values": [
    0.4516,
    0.598,
    0.4471,
    0.0869,
    0.757,
    0.692,
    0.9128,
    0.855,
    0.2908,
    0.1771,
    0.5248,
    0.4681,
    0.492,
    0.589,
    0.4346,
    0.2685,
    0.6596,
    0.4502,
    0.4193,
    0.4534
  ],
  "k_labels": [
    "1B_medical_Baseline_LoRA",
    "1B_medical_DoRA",
    "1B_medical_EgoRA_e2",
    "1B_medical_EgoRA_adaptive_v2",
    "3B_medical_Baseline_LoRA",
    "3B_medical_DoRA",
    "3B_medical_EgoRA_e2",
    "3B_medical_EgoRA_adaptive_v2",
    "1B_alpaca_Baseline_LoRA",
    "1B_alpaca_DoRA",
    "1B_alpaca_EgoRA_e2",
    "1B_alpaca_EgoRA_adaptive_v2",
    "3B_alpaca_Baseline_LoRA",
    "3B_alpaca_DoRA",
    "3B_alpaca_EgoRA_e2",
    "3B_alpaca_EgoRA_adaptive_v2",
    "8B_alpaca_Baseline_LoRA",
    "8B_alpaca_DoRA",
    "8B_alpaca_EgoRA_e2",
    "8B_alpaca_EgoRA_adaptive_v2"
  ],
  "n_phase_transition_points": 20
}